Derivation of a fundamental diagram for urban traffic flow

Derivation of a Fundamental Diagram for Urban Traffic Flow

Despite the importance of urban traffic flows, there are only a few theoretical approaches to determine fundamental relationships between macroscopic traffic variables such as the traffic density, the utilization, the average velocity, and the travel time. In the past, empirical measurements have primarily been described by fit functions. Here, we derive expected fundamental relationships from ...

Stochastic Fundamental Diagram for Probabilistic Traffic Flow Modeling

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An analytical approximation for the macroscopic fundamental diagram of urban traffic

This paper shows that a macroscopic fundamental diagram (MFD) relating flow and average density must exist on any street with blocks of diverse widths and lengths, but no turns, even if all or some of the intersections are controlled by arbitrarily timed traffic signals. The timing patterns are assumed to be fixed in time. Exact expressions in terms of a shortest path recipe are given, both, fo...

75 Years of the Fundamental Diagram for Traffic Flow Theory: Greenshields Symposium

Fundamental Diagram of Traffic Flow New Identification Scheme and Further Evidence from Empirical Data

This paper further investigates the specification and calibration of FDs. The purpose is to provide a consistent, systematic, and adaptive way to obtain FDs from single-loop detector measurements. In particular, the piecewise linear form is adopted for the FD, because (a) more-complex forms of the FD can be approximated by a piecewise linear form with arbitrarily many pieces, and (b) empirical ...